Pandas Profiling Report

Dataset statistics

Number of variables	16
Number of observations	13543
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	1.7 MiB
Average record size in memory	128.0 B

Variable types

Numeric	16

Alerts

`Area` is highly correlated with `Perimeter` and 12 other fields	High correlation
`Perimeter` is highly correlated with `Area` and 13 other fields	High correlation
`MajorAxisLength` is highly correlated with `Area` and 12 other fields	High correlation
`MinorAxisLength` is highly correlated with `Area` and 11 other fields	High correlation
`AspectRation` is highly correlated with `Area` and 13 other fields	High correlation
`Eccentricity` is highly correlated with `Area` and 13 other fields	High correlation
`ConvexArea` is highly correlated with `Area` and 12 other fields	High correlation
`EquivDiameter` is highly correlated with `Area` and 12 other fields	High correlation
`Solidity` is highly correlated with `Perimeter` and 2 other fields	High correlation
`roundness` is highly correlated with `Area` and 14 other fields	High correlation
`Compactness` is highly correlated with `Area` and 13 other fields	High correlation
`ShapeFactor1` is highly correlated with `Area` and 11 other fields	High correlation
`ShapeFactor2` is highly correlated with `Area` and 12 other fields	High correlation
`ShapeFactor3` is highly correlated with `Area` and 13 other fields	High correlation
`ShapeFactor4` is highly correlated with `Area` and 11 other fields	High correlation
`Extent` is highly correlated with `AspectRation` and 4 other fields	High correlation
`MajorAxisLength` has unique values	Unique
`MinorAxisLength` has unique values	Unique
`AspectRation` has unique values	Unique
`Eccentricity` has unique values	Unique
`roundness` has unique values	Unique
`Compactness` has unique values	Unique
`ShapeFactor1` has unique values	Unique
`ShapeFactor2` has unique values	Unique
`ShapeFactor3` has unique values	Unique
`ShapeFactor4` has unique values	Unique

Reproduction

Analysis started	2022-11-02 21:39:33.498881
Analysis finished	2022-11-02 21:39:54.635379
Duration	21.14 seconds
Software version	pandas-profiling v3.4.0
Download configuration	config.json

Area
Real number (ℝ)

HIGH CORRELATION

Distinct	12011
Distinct (%)	88.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0

Minimum	-2.544113169
Maximum	2.543527285
Zeros	0
Zeros (%)	0.0%
Negative	7035
Negative (%)	51.9%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.544113169
5-th percentile	-1.6244325
Q1	-0.7245389724
median	-0.05271276157
Q3	0.799370421
95-th percentile	1.473718232
Maximum	2.543527285
Range	5.087640454
Interquartile range (IQR)	1.523909393

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	nan
Kurtosis	-0.5329761666
Mean	0
Median Absolute Deviation (MAD)	0.7501886897
Skewness	0.1138324874
Sum	9.094947018 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.8839392551	4	< 0.1%
-0.7405558412	4	< 0.1%
0.4130638844	4	< 0.1%
-1.390078516	4	< 0.1%
-1.569190098	4	< 0.1%
-0.8665712321	4	< 0.1%
-0.5334300726	4	< 0.1%
-0.5466584082	4	< 0.1%
-0.3599752434	4	< 0.1%
-0.5234427693	4	< 0.1%
Other values (12001)	13503	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.544113169	1	< 0.1%
-2.538035952	1	< 0.1%
-2.526450448	1	< 0.1%
-2.504030635	1	< 0.1%
-2.493742055	1	< 0.1%
-2.47239685	1	< 0.1%
-2.450717597	1	< 0.1%
-2.421796378	1	< 0.1%
-2.417192637	1	< 0.1%
-2.410564026	1	< 0.1%

Value	Count	Frequency (%)
2.543527285	1	< 0.1%
2.53416301	1	< 0.1%
2.525149603	1	< 0.1%
2.503194921	1	< 0.1%
2.490222663	1	< 0.1%
2.482470832	1	< 0.1%
2.478679327	1	< 0.1%
2.469691526	1	< 0.1%
2.46901903	1	< 0.1%
2.455098472	1	< 0.1%

Perimeter
Real number (ℝ)

HIGH CORRELATION

Distinct	13406
Distinct (%)	99.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	3.357803669 × 10^-17

Minimum	-2.641663779
Maximum	2.691290481
Zeros	0
Zeros (%)	0.0%
Negative	7064
Negative (%)	52.2%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.641663779
5-th percentile	-1.586620234
Q1	-0.7655198618
median	-0.06528688633
Q3	0.8449838314
95-th percentile	1.444240996
Maximum	2.691290481
Range	5.33295426
Interquartile range (IQR)	1.610503693

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	2.978247152 × 10¹⁶
Kurtosis	-0.6310728687
Mean	3.357803669 × 10^-17
Median Absolute Deviation (MAD)	0.8036662509
Skewness	0.1026067629
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.9422683312	3	< 0.1%
0.3294703533	2	< 0.1%
0.6289520709	2	< 0.1%
0.009493677105	2	< 0.1%
-1.56573419	2	< 0.1%
1.062604954	2	< 0.1%
-1.395287586	2	< 0.1%
-0.9008198842	2	< 0.1%
-1.329794315	2	< 0.1%
0.05403730403	2	< 0.1%
Other values (13396)	13522	99.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.641663779	1	< 0.1%
-2.639250619	1	< 0.1%
-2.633331771	1	< 0.1%
-2.596581112	1	< 0.1%
-2.568784823	1	< 0.1%
-2.567053268	1	< 0.1%
-2.561044722	1	< 0.1%
-2.532069748	1	< 0.1%
-2.519750626	1	< 0.1%
-2.517315918	1	< 0.1%

Value	Count	Frequency (%)
2.691290481	1	< 0.1%
2.621358077	1	< 0.1%
2.619318247	1	< 0.1%
2.592214849	1	< 0.1%
2.5791611	1	< 0.1%
2.562179433	1	< 0.1%
2.538521452	1	< 0.1%
2.53813417	1	< 0.1%
2.536443454	1	< 0.1%
2.533976877	1	< 0.1%

MajorAxisLength
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0

Minimum	-2.539447477
Maximum	2.681326871
Zeros	0
Zeros (%)	0.0%
Negative	6991
Negative (%)	51.6%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.539447477
5-th percentile	-1.483029909
Q1	-0.8514628026
median	-0.05944217178
Q3	0.8783908654
95-th percentile	1.412821871
Maximum	2.681326871
Range	5.220774348
Interquartile range (IQR)	1.729853668

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	nan
Kurtosis	-0.8606543352
Mean	0
Median Absolute Deviation (MAD)	0.8706858572
Skewness	0.1410668239
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-1.885719488	1	< 0.1%
-0.01036578261	1	< 0.1%
0.02529037564	1	< 0.1%
0.04633178556	1	< 0.1%
-0.08268079937	1	< 0.1%
-0.06563839665	1	< 0.1%
0.05656400279	1	< 0.1%
-0.03020739066	1	< 0.1%
-0.02181374771	1	< 0.1%
-0.1574355678	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.539447477	1	< 0.1%
-2.529321056	1	< 0.1%
-2.490044462	1	< 0.1%
-2.470787519	1	< 0.1%
-2.440793765	1	< 0.1%
-2.392849609	1	< 0.1%
-2.368857366	1	< 0.1%
-2.35571848	1	< 0.1%
-2.33147627	1	< 0.1%
-2.330761847	1	< 0.1%

Value	Count	Frequency (%)
2.681326871	1	< 0.1%
2.679032756	1	< 0.1%
2.64092305	1	< 0.1%
2.628204566	1	< 0.1%
2.62399725	1	< 0.1%
2.622280898	1	< 0.1%
2.617096307	1	< 0.1%
2.603583405	1	< 0.1%
2.59996557	1	< 0.1%
2.597962045	1	< 0.1%

MinorAxisLength
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-3.357803669 × 10^-17

Minimum	-3.773133569
Maximum	2.776782145
Zeros	0
Zeros (%)	0.0%
Negative	6622
Negative (%)	48.9%
Memory size	105.9 KiB

Quantile statistics

Minimum	-3.773133569
5-th percentile	-1.725034991
Q1	-0.6198361442
median	0.02037156823
Q3	0.6819800233
95-th percentile	1.466099046
Maximum	2.776782145
Range	6.549915714
Interquartile range (IQR)	1.301816167

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-2.978247152 × 10¹⁶
Kurtosis	0.04924339445
Mean	-3.357803669 × 10^-17
Median Absolute Deviation (MAD)	0.6518031891
Skewness	-0.0201715851
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.7078253553	1	< 0.1%
0.1755221389	1	< 0.1%
0.107918977	1	< 0.1%
0.08306980946	1	< 0.1%
0.2500015884	1	< 0.1%
0.220101637	1	< 0.1%
0.09734119515	1	< 0.1%
0.1960104594	1	< 0.1%
0.1855384073	1	< 0.1%
0.3449695691	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-3.773133569	1	< 0.1%
-3.260557706	1	< 0.1%
-3.248438102	1	< 0.1%
-3.179113318	1	< 0.1%
-3.130616341	1	< 0.1%
-3.081425781	1	< 0.1%
-3.078391342	1	< 0.1%
-3.070748377	1	< 0.1%
-3.070084303	1	< 0.1%
-3.04721357	1	< 0.1%

Value	Count	Frequency (%)
2.776782145	1	< 0.1%
2.735603895	1	< 0.1%
2.728432124	1	< 0.1%
2.719695958	1	< 0.1%
2.713410798	1	< 0.1%
2.688637706	1	< 0.1%
2.665822028	1	< 0.1%
2.650319532	1	< 0.1%
2.649361213	1	< 0.1%
2.637651018	1	< 0.1%

AspectRation
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0

Minimum	-2.872390761
Maximum	2.718775684
Zeros	0
Zeros (%)	0.0%
Negative	6841
Negative (%)	50.5%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.872390761
5-th percentile	-1.764521394
Q1	-0.5671204642
median	-0.01153165488
Q3	0.5984932504
95-th percentile	1.788141615
Maximum	2.718775684
Range	5.591166445
Interquartile range (IQR)	1.165613715

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	nan
Kurtosis	-0.2170020279
Mean	0
Median Absolute Deviation (MAD)	0.5823195206
Skewness	-0.009759682583
Sum	2.273736754 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-1.826640187	1	< 0.1%
-0.1526436686	1	< 0.1%
-0.02511007194	1	< 0.1%
0.03250399597	1	< 0.1%
-0.3463438326	1	< 0.1%
-0.285794308	1	< 0.1%
0.03236670779	1	< 0.1%
-0.2054094532	1	< 0.1%
-0.1809857694	1	< 0.1%
-0.5738308777	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.872390761	1	< 0.1%
-2.799577284	1	< 0.1%
-2.764792107	1	< 0.1%
-2.73225111	1	< 0.1%
-2.719617428	1	< 0.1%
-2.718093267	1	< 0.1%
-2.647273241	1	< 0.1%
-2.647196568	1	< 0.1%
-2.62297274	1	< 0.1%
-2.619563258	1	< 0.1%

Value	Count	Frequency (%)
2.718775684	1	< 0.1%
2.615210349	1	< 0.1%
2.611488611	1	< 0.1%
2.601071983	1	< 0.1%
2.552397166	1	< 0.1%
2.537804954	1	< 0.1%
2.517950407	1	< 0.1%
2.510791126	1	< 0.1%
2.504182782	1	< 0.1%
2.49962374	1	< 0.1%

Eccentricity
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-1.511011651 × 10^-16

Minimum	-3.351992598
Maximum	2.495349533
Zeros	0
Zeros (%)	0.0%
Negative	6982
Negative (%)	51.6%
Memory size	105.9 KiB

Quantile statistics

Minimum	-3.351992598
5-th percentile	-1.735082213
Q1	-0.5754540149
median	-0.03530007985
Q3	0.6137490623
95-th percentile	1.791113771
Maximum	2.495349533
Range	5.847342131
Interquartile range (IQR)	1.189203077

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-6.618327005 × 10¹⁵
Kurtosis	-0.2381997868
Mean	-1.511011651 × 10^-16
Median Absolute Deviation (MAD)	0.5905012481
Skewness	-0.005182552134
Sum	-1.818989404 × 10^-12
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-1.802024353	1	< 0.1%
-0.1777666678	1	< 0.1%
-0.0491809382	1	< 0.1%
0.009955618137	1	< 0.1%
-0.3666307925	1	< 0.1%
-0.3083323613	1	< 0.1%
0.009813963738	1	< 0.1%
-0.2299490466	1	< 0.1%
-0.2058734572	1	< 0.1%
-0.5817373116	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-3.351992598	1	< 0.1%
-3.180525202	1	< 0.1%
-3.107245979	1	< 0.1%
-3.042429241	1	< 0.1%
-3.018106754	1	< 0.1%
-3.015201848	1	< 0.1%
-2.886384925	1	< 0.1%
-2.886251356	1	< 0.1%
-2.844613614	1	< 0.1%
-2.838839945	1	< 0.1%

Value	Count	Frequency (%)
2.495349533	1	< 0.1%
2.426800678	1	< 0.1%
2.424293535	1	< 0.1%
2.417260113	1	< 0.1%
2.384075112	1	< 0.1%
2.37402362	1	< 0.1%
2.360270601	1	< 0.1%
2.355289704	1	< 0.1%
2.350681858	1	< 0.1%
2.347497199	1	< 0.1%

ConvexArea
Real number (ℝ)

HIGH CORRELATION

Distinct	12066
Distinct (%)	89.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-6.715607338 × 10^-17

Minimum	-2.534132994
Maximum	2.552584673
Zeros	0
Zeros (%)	0.0%
Negative	7054
Negative (%)	52.1%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.534132994
5-th percentile	-1.618048448
Q1	-0.7287412959
median	-0.05445769881
Q3	0.8041226236
95-th percentile	1.475015849
Maximum	2.552584673
Range	5.086717667
Interquartile range (IQR)	1.532863919

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-1.489123576 × 10¹⁶
Kurtosis	-0.54962645
Mean	-6.715607338 × 10^-17
Median Absolute Deviation (MAD)	0.7532120679
Skewness	0.1182870171
Sum	-9.094947018 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.6971297057	5	< 0.1%
-0.1920000117	4	< 0.1%
-0.1147972344	4	< 0.1%
-0.5296436523	4	< 0.1%
0.1273060547	4	< 0.1%
-1.242523403	4	< 0.1%
0.09950755413	4	< 0.1%
-0.3050596583	4	< 0.1%
-1.393386821	3	< 0.1%
-0.669847482	3	< 0.1%
Other values (12056)	13504	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.534132994	1	< 0.1%
-2.522188028	1	< 0.1%
-2.515004992	1	< 0.1%
-2.492965993	1	< 0.1%
-2.483660333	1	< 0.1%
-2.465628767	1	< 0.1%
-2.429324379	1	< 0.1%
-2.412651995	1	< 0.1%
-2.412252425	1	< 0.1%
-2.393502613	1	< 0.1%

Value	Count	Frequency (%)
2.552584673	1	< 0.1%
2.536090364	1	< 0.1%
2.51750761	1	< 0.1%
2.496891565	1	< 0.1%
2.485406246	1	< 0.1%
2.477684682	1	< 0.1%
2.474697297	1	< 0.1%
2.461176668	1	< 0.1%
2.460039375	1	< 0.1%
2.455319309	1	< 0.1%

EquivDiameter
Real number (ℝ)

HIGH CORRELATION

Distinct	12011
Distinct (%)	88.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-6.715607338 × 10^-17

Minimum	-2.849788999
Maximum	2.702064001
Zeros	0
Zeros (%)	0.0%
Negative	6882
Negative (%)	50.8%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.849788999
5-th percentile	-1.679309142
Q1	-0.686852075
median	-0.02024268553
Q3	0.766979219
95-th percentile	1.427818472
Maximum	2.702064001
Range	5.551852999
Interquartile range (IQR)	1.453831294

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-1.489123576 × 10¹⁶
Kurtosis	-0.2933899429
Mean	-6.715607338 × 10^-17
Median Absolute Deviation (MAD)	0.7224230361
Skewness	0.04233645978
Sum	-1.364242053 × 10^-12
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.853618681	4	< 0.1%
-0.7034495413	4	< 0.1%
0.4115920816	4	< 0.1%
-1.40823969	4	< 0.1%
-1.614533908	4	< 0.1%
-0.8352743773	4	< 0.1%
-0.4914692359	4	< 0.1%
-0.5048387168	4	< 0.1%
-0.3182164852	4	< 0.1%
-0.4813903062	4	< 0.1%
Other values (12001)	13503	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.849788999	1	< 0.1%
-2.841406564	1	< 0.1%
-2.825453419	1	< 0.1%
-2.79468147	1	< 0.1%
-2.780603879	1	< 0.1%
-2.751485052	1	< 0.1%
-2.722030116	1	< 0.1%
-2.682921431	1	< 0.1%
-2.676715456	1	< 0.1%
-2.667789217	1	< 0.1%

Value	Count	Frequency (%)
2.702064001	1	< 0.1%
2.688843035	1	< 0.1%
2.676166466	1	< 0.1%
2.645487089	1	< 0.1%
2.62748932	1	< 0.1%
2.616779569	1	< 0.1%
2.611553502	1	< 0.1%
2.59919678	1	< 0.1%
2.598273995	1	< 0.1%
2.579227803	1	< 0.1%

Extent
Real number (ℝ)

HIGH CORRELATION

Distinct	13535
Distinct (%)	99.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	3.777529128 × 10^-17

Minimum	-2.66017277
Maximum	3.684092083
Zeros	0
Zeros (%)	0.0%
Negative	6651
Negative (%)	49.1%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.66017277
5-th percentile	-1.648236025
Q1	-0.7831073779
median	0.02966873109
Q3	0.7589095359
95-th percentile	1.57583431
Maximum	3.684092083
Range	6.344264853
Interquartile range (IQR)	1.542016914

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	2.647330802 × 10¹⁶
Kurtosis	-0.5732839173
Mean	3.777529128 × 10^-17
Median Absolute Deviation (MAD)	0.7731394507
Skewness	-0.05777768474
Sum	4.547473509 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.4621901357	2	< 0.1%
-0.6817266166	2	< 0.1%
0.5703123242	2	< 0.1%
-0.8326123317	2	< 0.1%
-0.370570157	2	< 0.1%
-1.183195872	2	< 0.1%
0.4931783681	2	< 0.1%
-0.8730556164	2	< 0.1%
0.9739779539	1	< 0.1%
0.5454128323	1	< 0.1%
Other values (13525)	13525	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.66017277	1	< 0.1%
-2.559667797	1	< 0.1%
-2.558785897	1	< 0.1%
-2.527508521	1	< 0.1%
-2.527170494	1	< 0.1%
-2.509620925	1	< 0.1%
-2.508071613	1	< 0.1%
-2.499067202	1	< 0.1%
-2.492921971	1	< 0.1%
-2.489472123	1	< 0.1%

Value	Count	Frequency (%)
3.684092083	1	< 0.1%
3.352321481	1	< 0.1%
3.119907291	1	< 0.1%
3.096311549	1	< 0.1%
3.083129496	1	< 0.1%
3.033766135	1	< 0.1%
3.013618535	1	< 0.1%
2.947316094	1	< 0.1%
2.921065168	1	< 0.1%
2.855990219	1	< 0.1%

Solidity
Real number (ℝ)

HIGH CORRELATION

Distinct	13526
Distinct (%)	99.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2.308490022 × 10^-17

Minimum	-3.79266383
Maximum	3.322939434
Zeros	0
Zeros (%)	0.0%
Negative	6719
Negative (%)	49.6%
Memory size	105.9 KiB

Quantile statistics

Minimum	-3.79266383
5-th percentile	-1.659095973
Q1	-0.6793153916
median	0.008527680111
Q3	0.6743746288
95-th percentile	1.66397696
Maximum	3.322939434
Range	7.115603265
Interquartile range (IQR)	1.35369002

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	4.331995858 × 10¹⁶
Kurtosis	-0.2243718133
Mean	2.308490022 × 10^-17
Median Absolute Deviation (MAD)	0.6754735082
Skewness	-0.02826281864
Sum	3.410605132 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5126210034	2	< 0.1%
-0.06957576614	2	< 0.1%
0.4312189484	2	< 0.1%
0.2683754015	2	< 0.1%
0.9449044136	2	< 0.1%
0.5612615796	2	< 0.1%
-0.3759630713	2	< 0.1%
0.7967999791	2	< 0.1%
0.7563874556	2	< 0.1%
1.018660929	2	< 0.1%
Other values (13516)	13523	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-3.79266383	1	< 0.1%
-3.276677397	1	< 0.1%
-3.249981644	1	< 0.1%
-3.193498864	1	< 0.1%
-3.191108201	1	< 0.1%
-3.164277082	1	< 0.1%
-3.124856568	1	< 0.1%
-3.122512911	1	< 0.1%
-3.035455851	1	< 0.1%
-2.992001798	1	< 0.1%

Value	Count	Frequency (%)
3.322939434	1	< 0.1%
3.115254546	1	< 0.1%
3.03442118	1	< 0.1%
3.003173419	1	< 0.1%
2.914934101	1	< 0.1%
2.91466262	1	< 0.1%
2.892910461	1	< 0.1%
2.824096518	1	< 0.1%
2.806875114	1	< 0.1%
2.797773754	1	< 0.1%

roundness
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0

Minimum	-4.16508363
Maximum	2.49957336
Zeros	0
Zeros (%)	0.0%
Negative	6604
Negative (%)	48.8%
Memory size	105.9 KiB

Quantile statistics

Minimum	-4.16508363
5-th percentile	-1.561397515
Q1	-0.7675563641
median	0.03365732451
Q3	0.7071627329
95-th percentile	1.692138069
Maximum	2.49957336
Range	6.66465699
Interquartile range (IQR)	1.474719097

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	nan
Kurtosis	-0.5393184188
Mean	0
Median Absolute Deviation (MAD)	0.7316918187
Skewness	-0.03854900317
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.658088721	1	< 0.1%
0.5050079771	1	< 0.1%
0.2843982382	1	< 0.1%
0.2131490423	1	< 0.1%
0.6203174355	1	< 0.1%
0.637720113	1	< 0.1%
0.2726229099	1	< 0.1%
0.3143982242	1	< 0.1%
-0.04488262575	1	< 0.1%
0.3278852234	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-4.16508363	1	< 0.1%
-3.626180197	1	< 0.1%
-3.500387653	1	< 0.1%
-3.464641175	1	< 0.1%
-3.449243737	1	< 0.1%
-3.313287238	1	< 0.1%
-3.301687665	1	< 0.1%
-3.241407406	1	< 0.1%
-3.211466263	1	< 0.1%
-3.201194769	1	< 0.1%

Value	Count	Frequency (%)
2.49957336	1	< 0.1%
2.425695314	1	< 0.1%
2.403602009	1	< 0.1%
2.396243565	1	< 0.1%
2.39285622	1	< 0.1%
2.377737472	1	< 0.1%
2.377419314	1	< 0.1%
2.373350674	1	< 0.1%
2.347307748	1	< 0.1%
2.34495925	1	< 0.1%

Compactness
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	3.357803669 × 10^-17

Minimum	-2.625977594
Maximum	3.00703326
Zeros	0
Zeros (%)	0.0%
Negative	6600
Negative (%)	48.7%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.625977594
5-th percentile	-1.787749376
Q1	-0.6009897421
median	0.02438124913
Q3	0.5585793864
95-th percentile	1.760090663
Maximum	3.00703326
Range	5.633010854
Interquartile range (IQR)	1.159569128

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	2.978247152 × 10¹⁶
Kurtosis	-0.2087203907
Mean	3.357803669 × 10^-17
Median Absolute Deviation (MAD)	0.5772308036
Skewness	0.009205494274
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.826777229	1	< 0.1%
0.1636019264	1	< 0.1%
0.04737469482	1	< 0.1%
-0.01249409791	1	< 0.1%
0.3544470366	1	< 0.1%
0.3065559405	1	< 0.1%
-0.03983252612	1	< 0.1%
0.2069435635	1	< 0.1%
0.1833460585	1	< 0.1%
0.5655486414	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.625977594	1	< 0.1%
-2.546458751	1	< 0.1%
-2.539344499	1	< 0.1%
-2.526639146	1	< 0.1%
-2.490137123	1	< 0.1%
-2.485545727	1	< 0.1%
-2.48304429	1	< 0.1%
-2.442545361	1	< 0.1%
-2.438561479	1	< 0.1%
-2.433966262	1	< 0.1%

Value	Count	Frequency (%)
3.00703326	1	< 0.1%
2.91640453	1	< 0.1%
2.881698007	1	< 0.1%
2.83879838	1	< 0.1%
2.825351325	1	< 0.1%
2.820567822	1	< 0.1%
2.73963698	1	< 0.1%
2.738934315	1	< 0.1%
2.711227943	1	< 0.1%
2.70662035	1	< 0.1%

ShapeFactor1
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	6.715607338 × 10^-17

Minimum	-2.805680907
Maximum	4.356165556
Zeros	0
Zeros (%)	0.0%
Negative	6875
Negative (%)	50.8%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.805680907
5-th percentile	-1.48781022
Q1	-0.6519365874
median	-0.01302726104
Q3	0.5946138007
95-th percentile	1.715928757
Maximum	4.356165556
Range	7.161846463
Interquartile range (IQR)	1.246550388

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	1.489123576 × 10¹⁶
Kurtosis	0.276768804
Mean	6.715607338 × 10^-17
Median Absolute Deviation (MAD)	0.6234087533
Skewness	0.01117682259
Sum	4.547473509 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.657097377	1	< 0.1%
-0.1622081743	1	< 0.1%
-0.1042048424	1	< 0.1%
-0.07713063523	1	< 0.1%
-0.2377432886	1	< 0.1%
-0.217729641	1	< 0.1%
-0.06547098652	1	< 0.1%
-0.1754299813	1	< 0.1%
-0.1652797724	1	< 0.1%
-0.3239944597	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.805680907	1	< 0.1%
-2.757397172	1	< 0.1%
-2.754654991	1	< 0.1%
-2.743291656	1	< 0.1%
-2.728631095	1	< 0.1%
-2.724111236	1	< 0.1%
-2.703267014	1	< 0.1%
-2.692714968	1	< 0.1%
-2.683253614	1	< 0.1%
-2.676660221	1	< 0.1%

Value	Count	Frequency (%)
4.356165556	1	< 0.1%
3.639757779	1	< 0.1%
3.546965123	1	< 0.1%
3.450669491	1	< 0.1%
3.415578962	1	< 0.1%
3.351512587	1	< 0.1%
3.348145495	1	< 0.1%
3.342011478	1	< 0.1%
3.331177866	1	< 0.1%
3.280210606	1	< 0.1%

ShapeFactor2
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-5.036705503 × 10^-17

Minimum	-2.189008127
Maximum	2.772052763
Zeros	0
Zeros (%)	0.0%
Negative	6556
Negative (%)	48.4%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.189008127
5-th percentile	-1.450148964
Q1	-0.9512690094
median	0.05279886907
Q3	0.8001313724
95-th percentile	1.580845719
Maximum	2.772052763
Range	4.961060889
Interquartile range (IQR)	1.751400382

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-1.985498101 × 10¹⁶
Kurtosis	-1.050078034
Mean	-5.036705503 × 10^-17
Median Absolute Deviation (MAD)	0.8707679565
Skewness	0.06294451057
Sum	-9.094947018 × 10^-13
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
2.130426727	1	< 0.1%
0.08722387642	1	< 0.1%
0.01337510219	1	< 0.1%
-0.02630022784	1	< 0.1%
0.2172484067	1	< 0.1%
0.1852900033	1	< 0.1%
-0.0447945746	1	< 0.1%
0.1188818351	1	< 0.1%
0.1031569624	1	< 0.1%
0.3582238642	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.189008127	1	< 0.1%
-2.182869064	1	< 0.1%
-2.181009145	1	< 0.1%
-2.170980755	1	< 0.1%
-2.132949521	1	< 0.1%
-2.131560719	1	< 0.1%
-2.127954867	1	< 0.1%
-2.107493102	1	< 0.1%
-2.099075629	1	< 0.1%
-2.096508024	1	< 0.1%

Value	Count	Frequency (%)
2.772052763	1	< 0.1%
2.660764916	1	< 0.1%
2.649042081	1	< 0.1%
2.626531221	1	< 0.1%
2.579083038	1	< 0.1%
2.534629827	1	< 0.1%
2.491036214	1	< 0.1%
2.471147781	1	< 0.1%
2.463204949	1	< 0.1%
2.438762928	1	< 0.1%

ShapeFactor3
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	6.715607338 × 10^-17

Minimum	-2.584342953
Maximum	3.024851083
Zeros	0
Zeros (%)	0.0%
Negative	6584
Negative (%)	48.6%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.584342953
5-th percentile	-1.787388711
Q1	-0.6046946858
median	0.02801683691
Q3	0.5608613921
95-th percentile	1.756211403
Maximum	3.024851083
Range	5.609194037
Interquartile range (IQR)	1.165556078

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	1.489123576 × 10¹⁶
Kurtosis	-0.2230537081
Mean	6.715607338 × 10^-17
Median Absolute Deviation (MAD)	0.5793010371
Skewness	0.007776509232
Sum	1.364242053 × 10^-12
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.823121386	1	< 0.1%
0.1676298978	1	< 0.1%
0.05112944999	1	< 0.1%
-0.009094319241	1	< 0.1%
0.3580086479	1	< 0.1%
0.3103186957	1	< 0.1%
-0.03663952368	1	< 0.1%
0.2109517555	1	< 0.1%
0.1873722991	1	< 0.1%
0.5677782339	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.584342953	1	< 0.1%
-2.510480079	1	< 0.1%
-2.503852985	1	< 0.1%
-2.492009995	1	< 0.1%
-2.457931139	1	< 0.1%
-2.45363885	1	< 0.1%
-2.451299836	1	< 0.1%
-2.413378422	1	< 0.1%
-2.4096428	1	< 0.1%
-2.405332766	1	< 0.1%

Value	Count	Frequency (%)
3.024851083	1	< 0.1%
2.931252375	1	< 0.1%
2.895471445	1	< 0.1%
2.851291476	1	< 0.1%
2.837453887	1	< 0.1%
2.832532697	1	< 0.1%
2.749370173	1	< 0.1%
2.748648937	1	< 0.1%
2.720221212	1	< 0.1%
2.715495725	1	< 0.1%

ShapeFactor4
Real number (ℝ)

HIGH CORRELATION
UNIQUE

Distinct	13543
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-5.036705503 × 10^-17

Minimum	-2.851452456
Maximum	2.06580388
Zeros	0
Zeros (%)	0.0%
Negative	6506
Negative (%)	48.0%
Memory size	105.9 KiB

Quantile statistics

Minimum	-2.851452456
5-th percentile	-1.654055341
Q1	-0.7812318385
median	0.05673802321
Q3	0.8150537248
95-th percentile	1.519834901
Maximum	2.06580388
Range	4.917256336
Interquartile range (IQR)	1.596285563

Descriptive statistics

Standard deviation	1.000036921
Coefficient of variation (CV)	-1.985498101 × 10¹⁶
Kurtosis	-0.8491223221
Mean	-5.036705503 × 10^-17
Median Absolute Deviation (MAD)	0.794833231
Skewness	-0.1776515729
Sum	0
Variance	1.000073844
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.335841977	1	< 0.1%
-0.01110049239	1	< 0.1%
0.4265458766	1	< 0.1%
0.1208009741	1	< 0.1%
0.4111642928	1	< 0.1%
1.268478298	1	< 0.1%
-1.044252914	1	< 0.1%
-0.4023087522	1	< 0.1%
-0.4157599518	1	< 0.1%
0.021596266	1	< 0.1%
Other values (13533)	13533	99.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-2.851452456	1	< 0.1%
-2.820000865	1	< 0.1%
-2.80216032	1	< 0.1%
-2.744130604	1	< 0.1%
-2.713761566	1	< 0.1%
-2.707506253	1	< 0.1%
-2.705914528	1	< 0.1%
-2.705872357	1	< 0.1%
-2.698581137	1	< 0.1%
-2.689123031	1	< 0.1%

Value	Count	Frequency (%)
2.06580388	1	< 0.1%
2.047593098	1	< 0.1%
2.046223566	1	< 0.1%
2.02545968	1	< 0.1%
2.020648078	1	< 0.1%
2.017683612	1	< 0.1%
2.009258137	1	< 0.1%
2.003674229	1	< 0.1%
1.991936669	1	< 0.1%
1.983009876	1	< 0.1%

Auto

The auto setting is an easily interpretable pairwise column metric of the following mapping: vartype-vartype : method, categorical-categorical : Cramer's V, numerical-categorical : Cramer's V (using a discretized numerical column), numerical-numerical : Spearman's ρ. This configuration uses the best suitable for each pair of columns.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	Area	Perimeter	MajorAxisLength	MinorAxisLength	AspectRation	Eccentricity	ConvexArea	EquivDiameter	Extent	Solidity	roundness	Compactness	ShapeFactor1	ShapeFactor2	ShapeFactor3	ShapeFactor4
0	-1.537858	-1.661508	-1.885719	-0.707825	-1.826640	-1.802024	-1.537180	-1.578040	0.128466	0.208126	1.658089	1.826777	0.657097	2.130427	1.823121	1.335842
1	-1.499254	-1.375625	-2.082763	-0.336054	-2.421818	-2.532863	-1.486013	-1.533316	0.673735	-0.813659	0.099671	2.474055	0.304064	2.649042	2.477731	1.143895
2	-1.426611	-1.517065	-1.768962	-0.617890	-1.754192	-1.724066	-1.428727	-1.449865	0.505759	0.480627	1.410378	1.753389	0.567770	2.002862	1.749492	1.571212
3	-1.357148	-1.297382	-1.825661	-0.344657	-2.082529	-2.092748	-1.316622	-1.370912	0.636220	-1.813024	0.431785	2.066278	0.341254	2.215797	2.064195	-0.670601
4	-1.342692	-1.558225	-2.048274	-0.055485	-2.647197	-2.886251	-1.349595	-1.354583	0.367488	1.076351	2.344959	2.739637	0.036395	2.772053	2.749370	1.642302
5	-1.327523	-1.406717	-1.775573	-0.384754	-1.979414	-1.972362	-1.329908	-1.337487	0.438250	0.460717	1.315093	1.992675	0.344524	2.137418	1.989976	1.692544
6	-1.306012	-1.065119	-1.813314	-0.285130	-2.123430	-2.141920	-1.290390	-1.313307	0.090645	-0.969892	-0.477947	2.146913	0.251939	2.250452	2.145648	1.558942
7	-1.301463	-1.459466	-1.764718	-0.335944	-2.011712	-2.009553	-1.303485	-1.308204	0.302769	0.403395	1.885147	2.020733	0.304544	2.144425	2.018254	1.089530
8	-1.283535	-1.399115	-1.751370	-0.319443	-2.010167	-2.007763	-1.282531	-1.288124	0.326186	0.058777	1.565064	2.023581	0.284861	2.135853	2.021126	1.492004
9	-1.267510	-1.437011	-1.660432	-0.409460	-1.805512	-1.779119	-1.274477	-1.270219	0.665389	1.036078	1.965667	1.807049	0.369092	1.951576	1.803318	1.567687

Last rows

	Area	Perimeter	MajorAxisLength	MinorAxisLength	AspectRation	Eccentricity	ConvexArea	EquivDiameter	Extent	Solidity	roundness	Compactness	ShapeFactor1	ShapeFactor2	ShapeFactor3	ShapeFactor4
13533	-0.238961	-0.221885	-0.195321	-0.197505	-0.028635	-0.052779	-0.246007	-0.199536	1.718126	0.573332	0.109849	0.050480	0.182262	0.150740	0.054249	0.403766
13534	-0.238578	-0.240621	-0.114481	-0.320148	0.198856	0.184115	-0.248280	-0.199163	0.388976	0.936568	0.226246	-0.167179	0.293495	0.004103	-0.165235	0.749021
13535	-0.238425	-0.231530	-0.160606	-0.246297	0.066690	0.045337	-0.243964	-0.199014	-0.062572	0.384221	0.171064	-0.042150	0.228535	0.088098	-0.038976	0.376521
13536	-0.236816	-0.280658	-0.179582	-0.205859	0.001492	-0.021953	-0.239958	-0.197448	0.253838	0.108803	0.493542	0.012344	0.199232	0.124064	0.015909	-0.201546
13537	-0.236816	-0.301396	-0.394023	0.068663	-0.586985	-0.594047	-0.247371	-0.197448	-0.575671	1.061014	0.633495	0.590731	-0.073383	0.516632	0.592768	0.985003
13538	-0.234749	-0.308912	-0.184609	-0.212555	0.000950	-0.022510	-0.243586	-0.195436	-0.850411	0.812963	0.697931	0.030098	0.188199	0.135086	0.033765	1.115223
13539	-0.234443	-0.325418	-0.307031	-0.040377	-0.345665	-0.365981	-0.244645	-0.195138	1.166336	1.008270	0.815829	0.360937	0.028170	0.358727	0.364467	1.011126
13540	-0.231537	-0.311722	-0.307671	-0.023969	-0.363957	-0.383487	-0.238977	-0.192312	-0.591474	0.622663	0.737327	0.368670	0.021802	0.362621	0.372163	0.225023
13541	-0.230926	-0.278511	-0.275540	-0.055609	-0.285071	-0.307633	-0.231592	-0.191717	-0.992589	-0.143961	0.513685	0.283255	0.061140	0.304370	0.287098	-0.383955
13542	-0.230009	-0.216666	-0.079536	-0.357017	0.279736	0.270328	-0.236638	-0.190826	0.822447	0.517213	0.125101	-0.244815	0.325573	-0.051768	-0.243803	0.987158

Overview

Variables

Interactions

Correlations

Auto

Spearman's ρ

Pearson's r

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows